engleski

Some remarks on Hilbert's inequality

A general form of recently obtained Hardy-Hilbert's inequality with perturbed Hilbert's kernel with the best possible estimation in the case of conjugate exponents is obtained. This means that the estimation is the norm of the Hilbert type operator. The multidimensional case is also considered.

Hardy-Hilbert's inequality; homogeneous kernel; the best possible constant; conjugate exponents; non-conjugate exponents; the hypergeometric fuction

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